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In the framework of the quark delocalization color screening model, weinvestigate tetraquarks composed of $us\bar{d}\bar{b}$ and $ud\bar{s}\bar{b}$in two structures: meson-meson structure and diquark-antidiquark structure.Neither bound state nor resonance state is found in the system composed of$us\bar{d}\bar{b}$. The reported $X(5568)$ cannot be explained as a molecularstate or a diquark-antidiquark resonance of $us\bar{d}\bar{b}$ in presentcalculation. However, two bound states of the diquark-antidiquark structure areobtained in the tetraquarks system composed of $ud\bar{s}\bar{b}$: an $IJ=00$state with the mass of $5701$ MeV, and an $IJ=01$ state with the mass of $5756$MeV, which maybe the partners of $X(5568)$ states. Our results indicate thatthe diquark-antidiquark configuration would be a good choice for thetetraquarks $ud\bar{s}\bar{b}$ with quantum numbers $IJ=00$ and $IJ=01$. Thetetraquarks composed of $ud\bar{s}\bar{b}$ is more possible to form boundstates than the one composed of $us\bar{d}\bar{b}$. These bound states areworth investigating in future experiments.

Investigating tetraquarks composed of $us\bar{d}\bar{b}$ and $ud\bar{s}\bar{b}$